Direct measurement of the unjacketed pore modulus of porous solids

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Abstract

Pressure decline caused by the extraction of oil from deep sedimentary layers depends on the pore modulus K pp , a poroelastic parameter that characterizes the effect of pressure change on pore volume under constant mean stress. Measurement of K pp is difficult, however, as it requires calibration to account for fluid compressibility and compliance of the testing system. Nevertheless, knowing the easily measurable drained pore modulus K p and adopting an assumption on the unjacketed pore modulus K s , it is possible to determine K pp because these pore moduli are related. Previous work on indirectly estimating K s claimed that K s is strongly dependent on Terzaghi effective pressure P and therefore not a constant; also, K s might be different from K s , the solid bulk modulus of the major mineral constituent. We overcome the limitations of the indirect approach by directly measuring K s . The experiments reveal that K s is indeed a constant and that for an ideal porous rock, the assumption of K s = K s holds. Furthermore, a constant K s implies that K p and K pp are functions of Terzaghi effective pressure only. These results provide a framework to accurately determine the Skempton coefficient B.

Original languageEnglish (US)
Article number2018060
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume474
Issue number2219
DOIs
StatePublished - Nov 1 2018

Bibliographical note

Publisher Copyright:
© 2018 The Author(s) Published by the Royal Society. All rights reserved.

Keywords

  • Effective pressure dependency
  • Ideal porous solid
  • Non-connected pore space
  • Poroelasticity
  • Unjacketed pore modulus

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